Engineering Mathematics

Solution to Problem 204 Stress-strain Diagram

Problem 204
The following data were obtained during a tension test of an aluminum alloy. The initial diameter of the test specimen was 0.505 in. and the gage length was 2.0 in.
 

Load (lb) Elongation (in.) Load (lb) Elongation (in.)
0 0 14 000 0.020
2 310 0.00220 14 400 0.025
4 640 0.00440 14 500 0.060
6 950 0.00660 14 600 0.080
9 290 0.00880 14 800 0.100
11 600 0.0110 14 600 0.120
12 600 0.0150 13 600 Fracture

 

Plot the stress-strain diagram and determine the following mechanical properties: (a) proportional limit; (b) modulus of elasticity; (c) yield point; (d) yield strength at 0.2% offset; (e) ultimate strength; and (f) rupture strength.
 

Solution 204